Comparison of irrational numbers - class-IX
Description: comparison of irrational numbers | |
Number of Questions: 51 | |
Created by: Ashok Pandey | |
Tags: rational and irrational numbers maths exponents |
Compare the following pairs of surds. $\sqrt[8]{80}, \sqrt[4]{40}$
Which among the following numbers is the greatest?
$\displaystyle 0.07+\sqrt{0.16},\sqrt{1.44},1.2\times 0.83,1.02-\frac{0.6}{24}$
State whether the following equality is true or false:
Determine the order relation between the following pairs of ratios.
Compare the following pairs of surds $\sqrt[8]{12}, \sqrt[4]{6}$
Compare the following pair of surds:
Arrange the following in ascending order of magnitude:
What is the least value of $a$ in $ \displaystyle\frac{\sqrt 2+\sqrt 3}{\sqrt{2+3}} < a$?
Which of the following is the greatest?
The greatest among $\displaystyle \sqrt[6]{3}$, $\displaystyle \sqrt{2}$, $\displaystyle \sqrt[3]{4}$, $\displaystyle \sqrt[4]{5}$ is--
Which of the following is smallest?
Which one of the following is the smallest surd?
If $p=\sqrt{32}-\sqrt{24}$ and $q=\sqrt{50}-\sqrt{48}$, then:
If $x=\sqrt{2}+1, y=\sqrt{17}-\sqrt{2}$, then .............
$\sqrt{11}-\sqrt{10}$ $\Box$ $ \sqrt{12}-\sqrt{11}$
Which among the following numbers is the greatest?
$\displaystyle \sqrt[3]{4},\sqrt{2},\sqrt[6]{13},\sqrt[4]{5}$
If $x=\sqrt{7}-\sqrt{5}, y=\sqrt{13}-\sqrt{11}$, then:
If $A=\sqrt{7}-\sqrt{6}$ and $B=\sqrt{6}-\sqrt{5}$, then identify the true statement.
The smallest between $\sqrt{17} - \sqrt{12}$ and $\sqrt{11} - \sqrt{6}$ is _________.
The smallest of $\sqrt [ 3 ]{ 4 } , \sqrt [ 4 ]{ 5 } , \sqrt [ 4 ]{ 6 } , \sqrt [ 3 ]{ 8 } $ is:
Let x and y be rational and irrational numbers, respectively, then x + y necessarily an irrational number.
If $A=\sqrt [ 3 ]{ 3 } , B=\sqrt [ 4 ]{ 5 } $, then which of the following is true?
The descending order of the surds $\sqrt[3]{2} , \sqrt[6]{3} , \sqrt[9]{4}$ is _________.
Which of the following is smallest ?
Which of the following is the greatest?
$\sqrt{12}$, $\sqrt{13}$,$\sqrt{15}$,$\sqrt{17}$.
Identify the irrational number(s) between $2\sqrt{3}$ and $3\sqrt{3}$
Compare the following pairs of surds. $\sqrt[4]{64}, \sqrt[6]{128}$
The smallest of $\sqrt[3]{4}, \sqrt[4]{5}, \sqrt[4]{6}, \sqrt[3]{8}$ is:
If $a = \sqrt {15} + \sqrt {11}, b = \sqrt {14} + \sqrt {12}$ then
$\sqrt{11}-\sqrt{10} .... \sqrt{12}-\sqrt{11}$,use appropriate inequality to fill the gap.
If $p=\sqrt{32}-\sqrt{24}$ and $q=\sqrt{50}-\sqrt{48}$
If $x=\sqrt{2}+1, y=\sqrt{17}-\sqrt{2}$, then:
Arrange the following in ascending order of magnitude: $\displaystyle \sqrt[4]{90}, \sqrt[3]{10}, \sqrt{6}$
$if\,A\, = \sqrt 7 - \sqrt 6 \,and\,B = \,\sqrt 6 - \sqrt {5,} \,then\,$
Which of the following numbers is the least ?
$\displaystyle (0.5)^{2},\sqrt{0.49},\sqrt[3]{0.008},0.23$
The greatest number among $\displaystyle \sqrt[3]{2},\sqrt{3},\sqrt[3]{5}$ and $1.5$ is
The smallest of $\displaystyle \sqrt{8}+\sqrt{5},\sqrt{7}+\sqrt{6},\sqrt{10}+\sqrt{3}$ and $\displaystyle \sqrt{11}+\sqrt{2}$ is
Which one of the following set of surds is correct sequence of ascending order of their values?
Which is the greatest out of the following ?
$4\sqrt{18}$ $=$ $12\sqrt{2}$
State true or false
Which is greater $\displaystyle (\sqrt{7}+\sqrt{10})$ or $\displaystyle (\sqrt{3}+\sqrt{19})$?
$\displaystyle \sqrt[4]{3},\sqrt[6]{10},\sqrt[12]{25}$, when arranged in descending order will be
The greatest amongst the the values $0.7 + \sqrt { 0.16 } , 1.02 - \displaystyle\frac { 0.6 }{ 24 } , 1.2 \times 0.83$ and $\sqrt { 1.44 } $ is
Which of the following is smallest?
Arrange the following surds in ascending order of their magnitudes: $\sqrt{5},\sqrt [ 3 ]{ 11 } ,2\sqrt [ 6 ]{ 3 } $
Write $\displaystyle \sqrt[4]{6},\sqrt{2},\sqrt[3]{4}$ in ascending order
State true or false
Which is greater?
${ \left( \cfrac { 1 }{ 2 } \right) }^{ 1/2 } $ or ${ \left( \cfrac { 2 }{ 3 } \right) }^{ 1/3 } $
The correct descending order of the following surds is
$ \sqrt [3]{2}$, $\sqrt 3$, $\sqrt 4$, $\sqrt 5$
Which one of the following is an irrational number?